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Triangle ABC has a perimeter of 20 cm, and its longest side is c.
Given the triangle inequality, the longest side c must satisfy which condition?

Class 9Inequalities in a TriangleGeometry — Triangles
  • Ac < 10 cm
  • Bc > 10 cm
  • Cc = 10 cm
  • Dc < 7 cm

Step-by-Step Solution

The other two sides sum to , and this must exceed , so , hence cm.
Answer: A) c < 10 cm

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